Dimension groups and multidimensional continued fractions
C. R. Math. Rep. Acad. Sci. Canada Vol. 33 (1) 2011, pp. 11–20
March 30, 2011
Gregory R. Maloney, Department of Mathematics, University of Massachusetts Boston, 100 Morrissey Blvd., Boston, MA 02125-3393, USA; e-mail: gmaloney@math.umb.edu
Abstract/Résumé:
We describe a class of dimension groups associated with multidimensional continued fractions and show how a certain property of a continued fraction is reflected in the structure of its dimension group.
On décrit une classe de groupes de dimensions associés aux fractions continues multidimensionnelles et on montre comment une certaine propriété d’une fraction continue se reflète dans la structure de son groupe de dimensions.
Keywords:
AMS Subject Classification: $K_0$ as an ordered group; traces 19K14
AMS Subject Classification: $K_0$ as an ordered group; traces 19K14
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Dimension groups and multidimensional continued fractions
